document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1184552>Question 1184552</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A delivery truck is transporting boxes of two sizes: large and small. The combined weight of a large box and a small box is 70 pounds. The truck is transporting 65 large boxes and 60 small boxes. If the truck is carrying a total of 4425 pounds in boxes, how much does each type of box weigh? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #815168 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=815168\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> write equations for each statement \r<BR>\n" );
document.write( "\n" );
document.write( "A delivery truck is transporting boxes of two sizes: large and small.<BR>\n" );
document.write( "let b = the no. of large boxes<BR>\n" );
document.write( "let s = the no. of small boxes<BR>\n" );
document.write( ":<BR>\n" );
document.write( " The combined weight of a large box and a small box is 70 pounds.<BR>\n" );
document.write( "b + s = 70<BR>\n" );
document.write( "we can use this form for substitution<BR>\n" );
document.write( "s = (70-b)<BR>\n" );
document.write( ":<BR>\n" );
document.write( " The truck is transporting 65 large boxes and 60 small boxes.<BR>\n" );
document.write( " If the truck is carrying a total of 4425 pounds in boxes<BR>\n" );
document.write( "65b + 60s = 4425<BR>\n" );
document.write( "Simplify, divide by 5<BR>\n" );
document.write( "13b + 12s = 885<BR>\n" );
document.write( ":<BR>\n" );
document.write( " how much does each type of box weigh?<BR>\n" );
document.write( "Replace s with (70-b) in the above equation<BR>\n" );
document.write( "13b + 12(70-b) = 885<BR>\n" );
document.write( "13b + 840 - 12b = 885<BR>\n" );
document.write( "13b - 12b = 885 - 840<BR>\n" );
document.write( "b = 45 large boxes<BR>\n" );
document.write( "then<BR>\n" );
document.write( "70 - 45 = 25 small boxes<BR>\n" );
document.write( ";<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check:<BR>\n" );
document.write( "65*45 = 2925<BR>\n" );
document.write( "60*25 = 1500<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "total wt:4425 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );